Depth and Stanley depth of the edge ideals of multi triangular snake and multi triangular ouroboros snake graphs-Reference-Cited by-同舟云学术

Depth and Stanley depth of the edge ideals of multi triangular snake and multi triangular ouroboros snake graphs

Published:2022 Issue:9 Volume:7 Page:16449-16463
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Shahid Malik Muhammad Suleman¹,Ishaq Muhammad¹,Jirawattanapanit Anuwat²,Subkrajang Khanyaluck³

Affiliation:

1. School of Natural Sciences, National University of Sciences and Technology Islamabad, Sector H-12, Islamabad, Pakistan

2. Department of Mathematics, Faculty of Science, Phuket Rajabhat University (PKRU), 6 Thepkasattree Road, Raddasa, Phuket 83000, Thailand

3. Faculty of Science and Technology, Rajamangala University of Technology Suvarnabhumi, 7/1 Village No. 1, Nonthaburi 1 Road, Suan Yai Sub-district, Muang District, Nonthaburi 11000, Thailand

Abstract

<abstract><p>In this paper, we study depth and Stanley depth of the quotient rings of the edge ideals associated to triangular and multi triangular snake and triangular and multi triangular ouroboros snake graphs. In some cases, we find exact values, otherwise, we find tight bounds. We also find lower bounds for the edge ideals of triangular and multi triangular snake and ouroboros snake graphs and prove a conjecture of Herzog for all edge ideals we considered.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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